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Simplifying -2(3x + -5) + 7(x + -6) = -21 + -8 Reorder the terms: -2(-5 + 3x) + 7(x + -6) = -21 + -8 (-5 * -2 + 3x * -2) + 7(x + -6) = -21 + -8 (10 + -6x) + 7(x + -6) = -21 + -8 Reorder the terms: 10 + -6x + 7(-6 + x) = -21 + -8 10 + -6x + (-6 * 7 + x * 7) = -21 + -8 10 + -6x + (-42 + 7x) = -21 + -8 Reorder the terms: 10 + -42 + -6x + 7x = -21 + -8 Combine like terms: 10 + -42 = -32 -32 + -6x + 7x = -21 + -8 Combine like terms: -6x + 7x = 1x -32 + 1x = -21 + -8 Combine like terms: -21 + -8 = -29 -32 + 1x = -29 Solving -32 + 1x = -29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 1x = -29 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = -29 + 32 1x = -29 + 32 Combine like terms: -29 + 32 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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